The game should show you your arena MMR

So I'm fairly sure I've just hit my peak MMR in arena. Where I would generally go 7 wins at least half the time before, I'm now mostly going about 3 wins. This is because Legends has a persistent MMR for versus arena, effectively separating the good arena players from the bad arena players. Although I don't really like the system, as it prevents good arena players like myself from using arena as a means to rapidly acquire a large collection, I'm not asking for them to change that system. What I am asking is to be able to at least know how I'm doing compared to other players. It certainly seems that having arena rank 1 is absolutely meaningless, since the matchmaking isn't based on rank, but skill. There is definitely a huge difference between a low MMR rank 1 player and a high MMR rank 1 player.

So my suggestion is to have an arena ladder much like in ranked. If I can't grind arena for packs anymore, I should at least get to know how I compare to other players.

There's quite a bit of variance at work, not just in you and your opponents' decks and draws but also in how accurate both your MMRs are in relation to your actual skill. Not to mention your own skill can vary quite a bit from day to day and even hour to hour. Even if the matchmaking gave you 50% matches all the time, if you play 40 games every day you should expect 34% or lower win-rate about once a month on average.